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Finding the Fourth Proportional to 205,055.70, 307,583.55 and 144,921.30

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Solution

The fourth proportional to 205,055.70, 307,583.55 and 144,921.30 is: 217,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,055.70 : 307,583.55 = 144,921.30 : x
  2. Step 2: Convert to fraction form
    205,055.70/307,583.55 = 144,921.30/x
  3. Step 3: Cross multiply
    205,055.70x = 307,583.55 × 144,921.30
  4. Step 4: Simplify right side
    205,055.70x = 44,575,407,924.62
  5. Step 5: Solve for x
    x = 44,575,407,924.62/205,055.70
  6. Step 6: Final answer
    x = 217,381.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.